7657212064320 has 2688 divisors, whose sum is σ = 35071386255360. Its totient is φ = 1488692183040.

The previous prime is 7657212064297. The next prime is 7657212064349. The reversal of 7657212064320 is 234602127567.

7657212064320 is a `hidden beast` number, since 7 + 6 + 5 + 7 + 2 + 1 + 206 + 432 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 40090115425 + ... + 40090115615.

It is an arithmetic number, because the mean of its divisors is an integer number (13047390720).

Almost surely, 2^{7657212064320} is an apocalyptic number.

7657212064320 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7657212064320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17535693127680).

7657212064320 is an abundant number, since it is smaller than the sum of its proper divisors (27414174191040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7657212064320 is a wasteful number, since it uses less digits than its factorization.

7657212064320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 7657212064320 in words is "seven trillion, six hundred fifty-seven billion, two hundred twelve million, sixty-four thousand, three hundred twenty".